Title: Unexpected fillings, singularities, and plane curve arrangements
Speaker: Laura Starkston
Speaker Info: UC Davis
Brief Description: Virtual (Zoom) Talk
Special Note:
Abstract:
Meeting ID: 916 7431 9341Date: Thursday, April 22, 2021Meeting Password: First word of the name of the seminar (in small letters)
Abstract: I will discuss joint work with Olga Plamenevskaya studying symplectic fillings of links of certain complex surface singularities, and comparing symplectic fillings with complex smoothings. We develop characterizations of the symplectic fillings using planar Lefschetz fibrations and singular braided surfaces. This provides an analogue of de Jong and van Straten's work which characterizes the complex smoothings in terms of decorated complex plane curves. We find differences between symplectic fillings and complex smoothings that had not previously been found in rational complex surface singularities.